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Finding the Third Proportional to 211,058.31 and 461,527.48

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Solution

The third proportional to 211,058.31 and 461,527.48 is: 1,009,235.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,058.31 : 461,527.48 = 461,527.48 : x
  2. Step 2: Convert to fraction form
    211,058.31/461,527.48 = 461,527.48/x
  3. Step 3: Cross multiply
    211,058.31x = 461,527.48 × 461,527.48
  4. Step 4: Simplify right side
    211,058.31x = 213,007,614,326.42
  5. Step 5: Solve for x
    x = 213,007,614,326.42/211,058.31
  6. Step 6: Final answer
    x = 1,009,235.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.